Basic Math Skills

Simplify 1) 2) 3)

4) 5) 6)

Examples 1) 2) 3) 4)

Find the intercepts and sketch

Find the intersection of the graphs

Equation of Line Point-slope form y – y1 = m (x – x1) Example: Find the equation of a line that has a slope of 3 and passes through the point (1, -2)

Find the equation of the line that passes through the points (-3, 6) and (1, 2) 2) Parallel to the line in #1 and passing through the point ( -1, 4) 3) Perpendicular to the line in #1 and passing through the point (-1,4)

Finding the Domain Domain is all x values for which f(x) exists Range is all possible y values Example: Find the domain and range for each below a) f(x) = √(5 – x2) b) g(x) = (x2 – x – 6)/(x2 – x)

Evaluating Functions Functions can be evaluated at any point in their domain Example: For f(x) = 3x2 – x + 2, find: f(0) f(-1) f(2a) f(x + h) 2f(x)